Question

(b) 14
15
dr-12
i) The length of a rectangle is 6 m less than three times its breadth. The
dimensions of the rectangle, if its perimeter is 148 m, are
​

Answer 1

Step-by-step explanation:

Let the length and breadth of rectangle be l and b .

Given that length is 6m less than three times its breadth

⇒l=3b−6.............................(i)

Given its perimeter is 148m.

we k.n.t perimeter of a rectangle is 2(l+b)

⇒2(l+b)=148

⇒(l+b)=

2

148

=74.........(ii)

Substitute (i) in (ii)

l+b=(3b−6)+b=74

4b=74+6=80

b=

4

80

=20

Substituting value of b in (i)

l=3b−6=3(20)−6=60−6=54

Thus,length and breadth of given rectangle are 54m,20m.